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1. Linear partial differential operators [1963]
 Hörmander, Lars.
 New York, Academic Press, 1963.
 Description
 Book — 284 p. illus. 24 cm.
 Online
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QA377 .H58  Available 
 Hörmander, Lars.
 Berlin : Springer, 2005.
 Description
 Book — 1 online resource Digital: text file; PDF.
 Summary

 Existence and Approximation of Solutions of Differential Equations. Interior Regularity of Solutions of Differential Equations. The Cauchy and Mixed Problems. Differential Operators of Constant Strength. Scattering Theory. Analytic Function Theory and Differential Equations. Convolution Equations.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Hörmander, Lars, author.
 Berlin, [Germany] ; Heidelberg, [Germany] ; New York : Springer, 2005.
 Description
 Book — 1 online resource (399 pages) : illustrations.
 Hörmander, Lars.
 2nd ed.  Berlin ; New York : Springer, c2003<c2007>
 Description
 Book — v. <13>.
 Summary

 Existence and Approximation of Solutions of Differential Equations. Interior Regularity of Solutions of Differential Equations. The Cauchy and Mixed Problems. Differential Operators of Constant Strength. Scattering Theory. Analytic Function Theory and Differential Equations. Convolution Equations.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
5. Partial Differential Equations and Mathematical Physics : the DanishSwedish Analysis Seminar, 1995 [1996]
 Hörmander, Lars.
 Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 1996.
 Description
 Book — 1 online resource (viii, 375 pages).
 Summary

 On perturbation of embedded eigenvalues. Blowup of classical solutions of nonlinear hyperbolic equations: a survey of recent results. Global time decay of the amplitude of a reflected wave. Weyl quantization and Fourier integral operators. The local index theorem without smoothness. How ideas from microlocal analysis can be applied in 2D fluid mechanics. Lp spectral independence for certain uniformly elliptic operators. Trace asymptotics via almost analytic extensions. A microlocal version of concentrationcompactness. Complete heat trace, resolvent and zeta expansions for general AtiyahPatodiSinger problems. Semiclassical analysis for the transfer operator: WKB constructions in dimension 1. Several recent results in nonlinear geometric optics. Stabilization of the wave equation by the boundary. About smallpower semilinear wave equations. The Faddeev approach to inverse scattering from a microlocal perspective. Fibrations, compactifications and algebras of pseudodifferential operators. Degree theory beyond continuous maps. On the Weyl formula for obstacles. On the asymptotic completeness for particles in constant electromagnetic fields. The size of atoms in HartreeFock theory. Holomorphic extension of CR functions: a survey. Local solvability in a class of overdetermined systems of linear PDE. Neumann resonances in linear elasticity.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
6. The analysis of linear partial differential operators [1983  1985]
 Hörmander, Lars.
 Berlin ; New York : SpringerVerlag, 19831985.
 Description
 Book — 4 v. ; 24 cm.
 Summary

 1. Distribution theory and Fourier analysis
 2. Differential operators with constant coefficients
 3. Pseudodifferential operators
 4. Fourier integral operators.
(source: Nielsen Book Data)
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QA377 .H578 1983 V.1  Unknown 
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QA377 .H578 1983 V.4  Unknown 
7. Linear partial differential operators [1969]
 Hörmander, Lars.
 3d rev. printing.  Berlin, Heidelberg, New York, Springer, 1969.
 Description
 Book — vii, 285 p. 24 cm.
 Online

Available by special arrangement in response to the COVID19 outbreak. Simultaneous access is limited.
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QA377 .H58 1969  Available 
8. Linear partial differential operators [1964]
 Hörmander, Lars.
 2nd rev. printing.  Berlin : Springer, 1964.
 Description
 Book — vii, 284 p. ; 24 cm.
 Online
Science Library (Li and Ma)
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QA377 .H58 1964  Unknown 
9. Linear partial differential operators [1963]
 Hörmander, Lars.
 Berlin, Springer, 1963.
 Description
 Book — 1 online resource (284 pages) illustrations.
 Summary

 I: Functional analysis
 I. Distribution theory
 II. Some special spaces of distributions
 II: Differential operators with constant coefficients
 III. Existence and approximation of solutions of differential equations
 IV. Interior regularity of solutions of differential equations
 V. The Cauchy problem (constant coefficients)
 III: Differential operators with variable coefficients
 VI. Differential equations which have no solutions
 VII. Differential operators of constant strength
 VIII. Differential operators with simple characteristics
 IX. The Cauchy problem (variable coefficients)
 X. Elliptic boundary problems
 Appendix. Some algebraic lemmas
 Index of notations.
10. The analysis of linear partial differential operators [2003  2009]
 Hörmander, Lars.
 2nd ed.  Berlin ; New York : Springer, ©2003©2009.
 Description
 Book — 1 online resource (4 volumes).
 Summary

 Contents: Lagrangian Distributions and Fourier Integral Operators. PseudoDifferential Operators of Principal Type. Subelliptic Operators. Uniqueness for the Cauchy Problem. Spectral Asymptotics. Long Range Scattering Theory. Bibliography. Index. Index of Notation.
 (source: Nielsen Book Data)
 Second Order Elliptic Operators. PseudoDifferential Operators. Elliptic Operators on a Compact Manifold without Boundary. Boundary Problems for Elliptic Differential Operators. Symplectic Geometry. Some Classes of (Micro)Hypoelliptic Operators. The Strictly Hyperbolic Cauchy Problem. The Mixed DirichletCauchy Problem for Second Order Operators. Appendix B: Some Spaces of Distributions. Appendix C: Some Tools from Differential Geometry. Bibliography. Index. Index of Notation.
 (source: Nielsen Book Data)
 I. Test Functions. Summary. 1.1. A review of Differential Calculus. 1.2. Existence of Test Functions. 1.3. Convolution. 1.4. Cutoff Functions and Partitions of Unity. Notes. II. Definition and Basic Properties of Distributions. Summary. 2.1. Basic Definitions. 2.2. Localization. 2.3. Distributions with Compact Support. Notes. III. Differentiation and Multiplication by Functions. Summary. 3.1. Definition and Examples. 3.2. Homogeneous Distributions. 3.3. Some Fundamental Solutions. 3.4. Evaluation of Some Integrals. Notes. IV. Convolution. Summary. 4.1. Convolution with a Smooth Function. 4.2. Convolution of Distributions. 4.3. The Theorem of Supports. 4.4. The Role of Fundamental Solutions. 4.5. Basic Lp Estimates for Convolutions. Notes. V. Distributions in Product Spaces. Summary. 5.1. Tensor Products. 5.2. The Kernel Theorem. Notes. VI. Composition with Smooth Maps. Summary. 6.1. Definitions. 6.2. Some Fundamental Solutions. 6.3. Distributions on a Manifold. 6.4. The Tangent and Cotangent Bundles. Notes. VII. The Fourier Transformation. Summary. 7.1. The Fourier Transformation in ? and in ?'. 7.2. Poisson's Summation Formula and Periodic Distributions. 7.3. The FourierLaplace Transformation in ?'. 7.4. More General FourierLaplace Transforms. 7.5. The Malgrange Preparation Theorem. 7.6. Fourier Transforms of Gaussian Functions. 7.7. The Method of Stationary Phase. 7.8. Oscillatory Integrals. 7.9. H(s), Lp and Holder Estimates. Notes. VIII. Spectral Analysis of Singularities. Summary. 8.1. The Wave Front Set. 8.2. A Review of Operations with Distributions. 8.3. The Wave Front Set of Solutions of Partial Differential Equations. 8.4. The Wave Front Set with Respect to CL. 8.5. Rules of Computation for WFL. 8.6. WFL for Solutions of Partial Differential Equations. 8.7. Microhyperbolicity. Notes. IX. Hyperfunctions. Summary. 9.1. Analytic Functionals. 9.2. General Hyperfunctions. 9.3. The Analytic Wave Front Set of a Hyperfunction. 9.4. The Analytic Cauchy Problem. 9.5. Hyperfunction Solutions of Partial Differential Equations. 9.6. The Analytic Wave Front Set and the Support. Notes. Exercises. Answers and Hints to All the Exercises. Index of Notation.
 (source: Nielsen Book Data)
 Existence and Approximation of Solutions of Differential Equations. Interior Regularity of Solutions of Differential Equations. The Cauchy and Mixed Problems. Differential Operators of Constant Strength. Scattering Theory. Analytic Function Theory and Differential Equations. Convolution Equations.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
(source: Nielsen Book Data)
Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations.
(source: Nielsen Book Data)
 Princeton, N.J. : Princeton University Press, 1979.
 Description
 Book — ix, 283 p. : ill. ; 24 cm.
Science Library (Li and Ma)
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Serials  
Shelved by Series title NO.91  Unknown 
 Hörmander, Lars.
 3rd rev. ed.  Amsterdam ; New York : NorthHolland ; New York, N.Y., U.S.A. : Distributors for the United States and Canada, Elsevier Science Pub. Co., 1990.
 Description
 Book — xii, 254 p. ; 23 cm.
 Summary

 I. Analytic Functions of One Complex Variable. II. Elementary Properties of Functions of Several Complex Variables. III. Applications to Commutative Banach Algebras. IV. L2 Estimates and Existence Theorems for the Operator. V. Stein Manifolds. VI. Local Properties of Analytic Functions. VII. Coherent Analytic Sheaves on Stein Manifolds. Bibliography. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online

Available by special arrangement in response to the COVID19 outbreak. Simultaneous access is limited.
More about HathiTrust ETAS
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QA331.7 .H67 1990  Available 
13. Linear partial differential operators [1969]
 Hörmander, Lars, author.
 Third revised printing.  Berlin ; Heidelberg : SpringerVerlag, 1969.
 Description
 Book — 1 online resource (vii, 292 pages).
14. Linear partial differential operators [1964]
 Hörmander, Lars, author.
 Second revised printing.  Berlin ; Heidelberg : SpringerVerlag, 1964.
 Description
 Book — 1 online resource (vii, 287 pages) : 1 illustration.
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